Pentax 8-48mm Zoom Lens
note: drawing not to scale
To identify an unknown subject 1.6m tall, the PSDB guidelines state that the subject should fill 120% of the height of the monitor screen. Therefore the subject to vertical field of view relationship is as per the diagram above. Based upon the Pentax C60809 (H6ZBME-5) lens, which has a vertical field of view on ½" format of 5.86°, the following calculations apply:-
The 1.6m subject should fill 120% of screen. Therefore, actual field of view to be covered is 1.6 ÷ 1.2 = 1.33m
Tangent of ½ x angle of view = height of subject ÷ subject distance.
Therefore - Tangent of 2.93° = (1.33 ÷ 2) ÷ X. (Where X is the unknown subject distance).
Therefore - 0.0511827 = 0.665 ÷ X. Which implies that X = 0.665 ÷ 0.0511827
Therefore, the maximum distance at which a 1.6m person will fill 120% of the height of the monitor screen using the Pentax 8-48mm lens is 12.99m.
note: drawing not to scale
To recognise a known subject 1.6m tall, the PSDB guidelines state that the subject should fill 50% of the height of the monitor screen. Therefore the subject to vertical field of view relationship is as per the diagram above. Based upon the Pentax C60809 (H6ZBME-5) lens, which has a vertical field of view on ½" format of 5.86°, the following calculations apply:-
Tangent of ½ x angle of view = height of subject ÷ subject distance.
Therefore - Tangent of 2.93° = 1.6 ÷ X. (Where X is the unknown subject distance).
Therefore - 0.0511827 = 1.6 ÷ X. Which implies that X = 1.6 ÷ 0.0511827.
Therefore, the maximum distance at which a 1.6m person will fill 50% of the height of the monitor screen using the Pentax 8-48mm lens is 31.26m.
Note: The trigonometrical function of tangent states that the tangent of an angle in a right angled triangle is equal to the length of the opposite side divided by the adjacent side.